{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "initial_id",
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2024-05-08T01:21:42.207075600Z",
     "start_time": "2024-05-08T01:21:42.191978Z"
    }
   },
   "outputs": [],
   "source": [
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.ticker import MultipleLocator, FormatStrFormatter"
   ]
  },
  {
   "cell_type": "markdown",
   "source": [
    "# Effect of drop rate on the average AUC value"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "be9dad1e667b7e5b"
  },
  {
   "cell_type": "code",
   "outputs": [],
   "source": [
    "def plot_dropout():\n",
    "    X = [1, 2, 3, 4, 5]\n",
    "    ROC = [97.23, 97.39, 97.12, 96.67, 96.31]\n",
    "    PR = [97.30, 97.47, 97.38, 97.04, 96.84]\n",
    "\n",
    "    # 设置颜色代码\n",
    "    color1 = \"#038355\" # 孔雀绿\n",
    "    color2 = \"#ffc34e\" # 向日黄\n",
    "\n",
    "    # 设置字体\n",
    "    font = {'family' : 'Times New Roman',\n",
    "        'size'   : 12}\n",
    "    plt.rc('font', **font)\n",
    "\n",
    "    # 绘图\n",
    "    sns.set_style(\"whitegrid\") # 设置背景样式\n",
    "    sns.lineplot(x=X, y=ROC, color=color1, linewidth=2.0, marker=\"o\", markersize=8, markeredgecolor=\"white\", markeredgewidth=1.5, label=r\"AUC\")\n",
    "    sns.lineplot(x=X, y=PR, color=color2, linewidth=2.0, marker=\"s\", markersize=8, markeredgecolor=\"white\", markeredgewidth=1.5, label=r\"AUPR\")\n",
    "\n",
    "    # 添加标题和标签\n",
    "    # plt.title(\"Title\", fontweight='bold', fontsize=14)\n",
    "    plt.xlabel('drop rate', fontsize=12)\n",
    "    plt.ylabel('Average AUC / AUPR(%)', fontsize=12)\n",
    "\n",
    "    # 添加图例\n",
    "    plt.legend(loc='upper right', frameon=True, fontsize=10)\n",
    "\n",
    "    # 设置刻度字体和范围\n",
    "    plt.xticks(fontsize=10)\n",
    "    plt.yticks(fontsize=10)\n",
    "    plt.xlim([0.85, 5.15])\n",
    "    plt.ylim([96.2, 97.6])\n",
    "\n",
    "    x_major_locator = MultipleLocator(1)  # 以每0.05显示\n",
    "    # y_major_locator = MultipleLocator(0.25)  # 以每3显示\n",
    "    ax = plt.gca()\n",
    "    ax.xaxis.set_major_locator(x_major_locator)\n",
    "    # ax.yaxis.set_major_locator(y_major_locator)\n",
    "    ax.set_xticks(X)  # 设置横坐标间距\n",
    "    # 设置横坐标标签\n",
    "    ax.set_xticklabels(['0.1', '0.2', '0.3', '0.4', '0.5'])  # 在这里可以设置自定义的标签\n",
    "\n",
    "    # 设置坐标轴样式\n",
    "    for spine in plt.gca().spines.values():\n",
    "        spine.set_edgecolor(\"#CCCCCC\")  # 边框设置为黑色‘black’\n",
    "        spine.set_linewidth(1.5)\n",
    "\n",
    "    plt.savefig('result\\dropout_1.pdf', format='pdf', dpi=300, bbox_inches='tight')\n",
    "    # 显示图像\n",
    "    plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-05-08T01:21:42.224071200Z",
     "start_time": "2024-05-08T01:21:42.215064700Z"
    }
   },
   "id": "2100d15a7aa62131",
   "execution_count": 2
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_dropout()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-05-08T01:21:42.623065200Z",
     "start_time": "2024-05-08T01:21:42.231064100Z"
    }
   },
   "id": "8a0fd54a3c5672b",
   "execution_count": 3
  },
  {
   "cell_type": "markdown",
   "source": [
    "# Effect of the sampling number K in enhanced GraphSAGE on the average AUC value"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "9068ed24b66cdc10"
  },
  {
   "cell_type": "code",
   "outputs": [],
   "source": [
    "def plot_k_sample():\n",
    "    X = [1, 2, 3, 4, 5]\n",
    "    ROC = [97.22, 97.00, 97.39, 96.80, 96.78]\n",
    "    PR = [97.37, 97.17, 97.47, 97.13, 97.11]\n",
    "\n",
    "    # 设置颜色代码\n",
    "    color1 = \"#038355\" # 孔雀绿\n",
    "    color2 = \"#ffc34e\" # 向日黄\n",
    "\n",
    "    # 设置字体\n",
    "    font = {'family' : 'Times New Roman',\n",
    "        'size'   : 12}\n",
    "    plt.rc('font', **font)\n",
    "\n",
    "    # 绘图\n",
    "    sns.set_style(\"whitegrid\") # 设置背景样式\n",
    "    sns.lineplot(x=X, y=ROC, color=color1, linewidth=2.0, marker=\"o\", markersize=8, markeredgecolor=\"white\", markeredgewidth=1.5, label=r\"AUC\")\n",
    "    sns.lineplot(x=X, y=PR, color=color2, linewidth=2.0, marker=\"s\", markersize=8, markeredgecolor=\"white\", markeredgewidth=1.5, label=r\"AUPR\")\n",
    "\n",
    "    # 添加标题和标签\n",
    "    # plt.title(\"Title\", fontweight='bold', fontsize=14)\n",
    "    plt.xlabel('Enhanced GraphSAGE sampling number K', fontsize=12)\n",
    "    plt.ylabel('Average AUC / AUPR(%)', fontsize=12)\n",
    "\n",
    "    # 添加图例\n",
    "    plt.legend(loc='upper right', frameon=True, fontsize=10)\n",
    "\n",
    "    # 设置刻度字体和范围\n",
    "    plt.xticks(fontsize=10)\n",
    "    plt.yticks(fontsize=10)\n",
    "    plt.xlim([0.85, 5.15])\n",
    "    plt.ylim([96.60, 97.60])\n",
    "\n",
    "    x_major_locator = MultipleLocator(1)  # 以每0.05显示\n",
    "    # y_major_locator = MultipleLocator(0.25)  # 以每3显示\n",
    "    ax = plt.gca()\n",
    "    ax.xaxis.set_major_locator(x_major_locator)\n",
    "    # ax.yaxis.set_major_locator(y_major_locator)\n",
    "    ax.set_xticks(X)  # 设置横坐标间距\n",
    "    # 设置横坐标标签\n",
    "    ax.set_xticklabels(['10', '30', '50', '70', '90'])  # 在这里可以设置自定义的标签\n",
    "\n",
    "    # 设置坐标轴样式\n",
    "    for spine in plt.gca().spines.values():\n",
    "        spine.set_edgecolor(\"#CCCCCC\")  # 边框设置为黑色‘black’\n",
    "        spine.set_linewidth(1.5)\n",
    "\n",
    "    plt.savefig('result\\k_sample_1.pdf', format='pdf', dpi=300, bbox_inches='tight')\n",
    "    # 显示图像\n",
    "    plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-05-08T01:21:42.637065600Z",
     "start_time": "2024-05-08T01:21:42.627069800Z"
    }
   },
   "id": "bb5e79e68a0fcfc0",
   "execution_count": 4
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_k_sample()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-05-08T01:21:42.870861200Z",
     "start_time": "2024-05-08T01:21:42.638065900Z"
    }
   },
   "id": "72b428253b267dae",
   "execution_count": 5
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
